Answer:
To calculate the balance after 45.4 months using the exponential growth model given by f(x) = 700(1+0.122)^{45.4}, we can substitute the value of x = 45.4 into the equation and solve for the balance.
f(45.4) = 700(1+0.122)^{45.4}
f(45.4) = 700(1.122)^{45.4}
Now, we can calculate the balance after 45.4 months:
f(45.4) = 700(1.122)^{45.4}
f(45.4) ≈ 700(12.2)^{45.4}
f(45.4) ≈ 700(44.429)
f(45.4) ≈ 31,100.3
Therefore, the balance after 45.4 months using the exponential growth model would be approximately $31,100.3.